Did that dragon try to imprint on Calix or something

I like to post spoilers for the stories I find interesting because I don't have much time to read novel due to busy schedule you will find me in most romantic historical manhwa comment sections

Side note- I want that princess sent to a convent in the mountains where they take baths with cold water. That feels like the ultimate punishment. Ya she's a child but I swear there are hints in the story that she went back in time and resents the FL.